Question

помогите решить ирациональное уравнение
а)√x+2=3
б)√x^2-1=2
в)√4x^2+5x-2=2

Answer 1

А)
$sqrt{x} = 3 - 2 \ sqrt{x} = 1 \ x = 1 \ sqrt{1} + 2 = 3 \ 3 = 3 \ x = 1$
Б)
$|x| - 1 = 3 \ |x| = 3 + 1 \ |x| = 4 \ x = 4 \ x = - 4 \ x1 = - 4 \ x2 = 4$
В)
$2 times |x| + 5x - 2 = 2 \ 2 times |x| + 5x = 2 + 2 \ 2 times |x| + 5x = 4 \ 2x + 5x = 4 \ x geqslant 0 \ 2 times ( - x) + 5x = 4 \ x < 0 \ x = frac{4}{7} \ x geqslant 0 \ x = frac{4}{3} \ x < 0 \ x = frac{4}{7}$